Question 177073
Let {{{C[A]}}} be the cost for agency A and {{{C[B]}}} be the cost for agency B.
For agency A:
{{{C[A] = 35*d+0.24*m}}} where d = number of days rented and m = number of miles driven.
For agency B:
{{{C[B] = 41d+0.16m}}}
Adam wants to rent for 3 days so d = 3 and we want to see for how many miles agency B would be cheaper than agency A, or when is...
{{{C[B] < C[A]}}} Substituting the above equations with d=3,
{{{41(3)+0.16m < 35(3)+0.24m}}} Simplify and solve for m.
{{{123+0.16m < 105+0.24m}}} Subtract 105 from both sides.
{{{18+0.16m < 0.24m}}} Subtract 0.16m from both sides.
{{{18 < 0.08m}}} Divide both sides by 0.08
{{{225 < m}}} or {{{m > 225}}}
Adam would have to drive more than 225 miles to make agency B a better (cheaper) bargain.